Khan, Khaula Naeem and Lamb, Wilson and Mcbride, Adam (2011) Fractional calculus of periodic distributions. Fractional Calculus and Applied Analysis, 14 (2). pp. 260283.

PDF
PAPER2wl.pdf  Draft Version Download (210kB)  Preview 
Abstract
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier series. The second is based on the Gr¨unwaldLetnikov formula for defining a fractional derivative as a limit of a fractional difference quotient. The equivalence of the two approaches is established and an application to a fractional diffusion equation, posed in a space of periodic distributions, is also discusse
Item type:  Article 

ID code:  30368 
Notes:  changed journal title 
Keywords:  fractional derivatives, distributions, fractional integrals, Probabilities. Mathematical statistics 
Subjects:  Science > Mathematics > Probabilities. Mathematical statistics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Pure Administrator 
Date Deposited:  08 Apr 2011 12:15 
Last modified:  27 Mar 2015 14:39 
URI:  http://strathprints.strath.ac.uk/id/eprint/30368 
Actions (login required)
View Item 